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13033020132231 = 3115921433123611
BaseRepresentation
bin1011110110100111110010…
…0010010000101110000111
31201010221111120201001012220
42331221330202100232013
53202013111123212411
643415141540343423
72513414250162441
oct275517442205607
951127446631186
1013033020132231
114175300104880
121565a780a4b73
137370159633b8
14330b315d7491
151790434ceb06
hexbda7c890b87

13033020132231 has 32 divisors (see below), whose sum is σ = 19287429488640. Its totient is φ = 7761296239200.

The previous prime is 13033020132229. The next prime is 13033020132233. The reversal of 13033020132231 is 13223102033031.

It is an interprime number because it is at equal distance from previous prime (13033020132229) and next prime (13033020132233).

It is not a de Polignac number, because 13033020132231 - 21 = 13033020132229 is a prime.

It is a super-2 number, since 2×130330201322312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033020132233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2610616 + ... + 5734226.

It is an arithmetic number, because the mean of its divisors is an integer number (602732171520).

Almost surely, 213033020132231 is an apocalyptic number.

13033020132231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13033020132231 is a deficient number, since it is larger than the sum of its proper divisors (6254409356409).

13033020132231 is a wasteful number, since it uses less digits than its factorization.

13033020132231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125827.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13033020132231 its reverse (13223102033031), we get a palindrome (26256122165262).

The spelling of 13033020132231 in words is "thirteen trillion, thirty-three billion, twenty million, one hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 11 33 59 177 649 1947 2143 6429 23573 70719 126437 379311 1390807 3123611 4172421 9370833 34359721 103079163 184293049 552879147 2027223539 6081670617 6693898373 20081695119 73632882103 220898646309 394940004007 1184820012021 4344340044077 13033020132231